Questions: In a certain state, the sales tax on an item is given by the function t(p)=0.0635 p, where p is the price of the item.
What does the value 0.0635 represent?
Function
Sales tax rate
Sales tax amount
Price of the item
Transcript text: In a certain state, the sales tax on an item is given by the function $t(p)=0.0635 p$, where $p$ is the price of the item.
What does the value 0.0635 represent?
Function
Sales tax rate
Sales tax amount
Price of the item
Solution
Solution Steps
Step 1: Understand the Function
The function given is \( t(p) = 0.0635 p \). This function represents the sales tax on an item, where \( p \) is the price of the item.
Step 2: Identify the Role of 0.0635
In the function \( t(p) = 0.0635 p \), the value 0.0635 is a constant multiplier applied to the price \( p \). This constant represents the rate at which the sales tax is calculated.
Step 3: Determine the Meaning of 0.0635
The value 0.0635 is the sales tax rate. It indicates that for every dollar of the item's price, 6.35% is added as sales tax.
Final Answer
The value 0.0635 represents the \(\boxed{\text{Sales tax rate}}\).